A note on a mimetic scalar-tensor cosmological model

Abstract

A specific Horndeski scalar-gravity mimetic model is investigated within a FLWR space-time. The mimetic scalar field is implemented via a Lagrangian multiplier, and it is shown that the model has equations of motion formally similar to the original simpler mimetic matter model of Chamseddine-Mukhanov-Vikman. Several exact solutions describing inflation, bounces, future time singularities are presented and discussed.

9 pages

References in corpus (12)

• Cosmology with Mimetic Matter
• Towards a Resolution of the Cosmological Singularity in Non-local Higher Derivative Theories of Gravity
• Inflation in $f(R,\varphi )$-theories and mimetic gravity scenario
• Mimetic $F(R)$ gravity: inflation, dark energy and bounce
• Disformal Transformations, Veiled General Relativity and Mimetic Gravity
• Dark energy from modified gravity with Lagrange multipliers
• The two faces of mimetic Horndeski gravity: disformal transformations and Lagrange multiplier
• Imperfect Dark Matter
• Cosmological perturbations in mimetic matter model
• Spherically symmetric static vacuum solutions in Mimetic gravity
• Reconstruction of Inflation Models
• Black hole and de Sitter solutions in a covariant renormalizable field theory of gravity

Cited by in corpus (33)

• Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution
• Horizon-scale tests of gravity theories and fundamental physics from the Event Horizon Telescope image of Sagittarius A${}^{\ast }$
• Mimetic gravity: a review of recent developments and applications to cosmology and astrophysics
• Covariant Horava-like and mimetic Horndeski gravity: cosmological solutions and perturbations
• Cosmological dynamics of mimetic gravity
• Alive and well: mimetic gravity and a higher-order extension in light of GW170817
• Mimicking dark matter and dark energy in a mimetic model compatible with GW170817
• Recovering a MOND-like acceleration law in mimetic gravity
• Charged rotating black holes coupled with nonlinear electrodynamics Maxwell field in the mimetic gravity
• On (in)stabilities of perturbations in mimetic models with higher derivatives
• Healthy imperfect dark matter from effective theory of mimetic cosmological perturbations
• Unimodular-Mimetic Cosmology
• Event Horizon Telescope observations exclude compact objects in baseline mimetic gravity
• Cosmological perturbations in mimetic Horndeski gravity
• Non-polynomial Lagrangian approach to Regular Black Holes
• Reissner-Nordström Black Holes in Mimetic $F(R)$ Gravity
• Black hole solutions in mimetic Born-Infeld gravity
• Dark Energy Oscillations in Mimetic $F(R)$ Gravity
• Mimetic Euler-Heisenberg theory, charged solutions and multi-horizon black holes
• Thick branes with inner structure in mimetic gravity
• Non-local $F(R)$-mimetic gravity
• Two-field mimetic gravity revisited and Hamiltonian analysis
• Fundamental energy scale of the thick brane in mimetic gravity
• Direct couplings of mimetic dark matter and their cosmological effects
• K-essence in Horndeski models
• Hamiltonian analysis of Mimetic gravity with higher derivatives
• $k$-essence non-minimally coupled with Gauss-Bonnet invariant for inflation
• A note on non singular Einstein-Aether cosmologies
• Isotropic stellar model in mimetic theory
• Static Spherically Symmetric solutions in a subclass of Horndeski theories of gravity
• Extensions of two-field mimetic gravity
• Mimetic gravity: mimicking the dynamics of the primeval universe in the context of loop quantum cosmology
• Holographic description of unified early and late universe in viscous mimetic gravity